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Finding the Fourth Proportional to 1,545.67, 2,319.99 and 724.74

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Solution

The fourth proportional to 1,545.67, 2,319.99 and 724.74 is: 1,087.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,545.67 : 2,319.99 = 724.74 : x
  2. Step 2: Convert to fraction form
    1,545.67/2,319.99 = 724.74/x
  3. Step 3: Cross multiply
    1,545.67x = 2,319.99 × 724.74
  4. Step 4: Simplify right side
    1,545.67x = 1,681,389.55
  5. Step 5: Solve for x
    x = 1,681,389.55/1,545.67
  6. Step 6: Final answer
    x = 1,087.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.